Base | Representation |
---|---|
bin | 111011111011000… |
… | …000011101100011 |
3 | 2121001200202110002 |
4 | 323323000131203 |
5 | 4024330333011 |
6 | 243431330215 |
7 | 33625054100 |
oct | 7373003543 |
9 | 2531622402 |
10 | 1005324131 |
11 | 47652a999 |
12 | 24082096b |
13 | 130382666 |
14 | 97735aa7 |
15 | 5d3d3c3b |
hex | 3bec0763 |
1005324131 has 12 divisors (see below), whose sum is σ = 1170207720. Its totient is φ = 861154560.
The previous prime is 1005324109. The next prime is 1005324149. The reversal of 1005324131 is 1314235001.
It is a de Polignac number, because none of the positive numbers 2k-1005324131 is a prime.
It is a super-2 number, since 2×10053241312 = 2021353216741810322, which contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1005324431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83075 + ... + 94403.
It is an arithmetic number, because the mean of its divisors is an integer number (97517310).
Almost surely, 21005324131 is an apocalyptic number.
1005324131 is a deficient number, since it is larger than the sum of its proper divisors (164883589).
1005324131 is a wasteful number, since it uses less digits than its factorization.
1005324131 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13154 (or 13147 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 20.
The square root of 1005324131 is about 31706.8467527126. The cubic root of 1005324131 is about 1001.7715700197.
Adding to 1005324131 its reverse (1314235001), we get a palindrome (2319559132).
The spelling of 1005324131 in words is "one billion, five million, three hundred twenty-four thousand, one hundred thirty-one".
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